457-0513/01 – Mathematical analysis III (MAIII)

Gurantor departmentDepartment of Applied MathematicsCredits4
Subject guarantordoc. Ing. Petr Beremlijski, Ph.D.Subject version guarantordoc. Ing. Petr Beremlijski, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction1999/2000Year of cancellation2009/2010
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BER95 doc. Ing. Petr Beremlijski, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Combined Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

The main task is to gain basic knowledge of linear differential equations and their systems, double and triple integrals and number series.

Teaching methods

Lectures
Tutorials

Summary

The subject consists of three parts: linear differential equations, double and triple integrals, number series.

Compulsory literature:

H. Anton: Calculus with analytic geometry, John Wiley & Sons, New York, 1992. James Stewart: Calculus, 1986.

Recommended literature:

J. Bouchala: Sbírka příkladů z matematické analýzy 2, www.am.vsb.cz/bouchala.

Way of continuous check of knowledge in the course of semester

Podmínky udělení zápočtu: V průběhu semestru bude student psát dva testy, první z nich bude ohodnocen 0-8 body a druhý z nich 0-7 body. Dále student dostane k vypracování během semestru tři domácí úkoly. Celkem z nich může dostat 15 bodů. K udělení zápočtu je nutno získat alespoň 10 bodů.

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Přednášky: Lineární diferenciální rovnice 2.řádu s konstantními koeficienty. Kmity. Soustavy lineárních diferenciálních rovnic s konstantními koeficienty. Dvojný a trojný integrál. Fubiniova věta. Substituce do polárních, cylindrických a sférických souřadnic. Aplikace dvojného a trojného integrálu. Číselné řady. Cvičení: Řešení úloh na téma: lineární diferenciální rovnice 2.řádu s konstantními koeficienty; soustavy lineárních diferenciálních rovnic s konstantními koeficienty; dvojný a trojný integrál; Fubiniova věta; substituce do polárních, cylindrických a sférických souřad; číselné řady.

Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Examination Examination 70  0
        Exercises evaluation Credit 30  10
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 2 Choice-compulsory study plan
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 2 Choice-compulsory study plan
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2009/2010 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 2 Choice-compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 2 Choice-compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2008/2009 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 2 Choice-compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 2 Choice-compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2007/2008 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 2 Choice-compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 2 Choice-compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2006/2007 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 2 Choice-compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 2 Choice-compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2005/2006 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 2 Choice-compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems K Czech Ostrava 2 Compulsory study plan
2004/2005 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2646) Information Technology (1103R021) Computation Mathematics P Czech Ostrava 2 Compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering P Czech Ostrava 2 Compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2612R041) Control and Information Systems P Czech Ostrava 2 Compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives P Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (2642R004) Electrical Machines Apparatus and Drives K Czech Ostrava 2 Choice-compulsory study plan
2003/2004 (B2645) Electrical Engineering, Communication and Computer Systems (3907R001) Electrical Power Engineering K Czech Ostrava 2 Compulsory study plan
2003/2004 (B2646) Information Technology (1103R021) Computation Mathematics K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner